document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=120992>Question 120992</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am working on a Composition of Functions question.  I am thrown off because of the use of fractions within the equation (which haven't been in our practice material).  The question that has me stumped follows. (This question comes from an online MAT113 course that I am taking at a local community college.  The material comes from Mathematica 6 for Students.)\r<BR>\n" );
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document.write( "f(g(x))   f(x)= 1/x and g(x) = x/x-1  For the life of me, I can't compute the equation.\r<BR>\n" );
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document.write( "Thank you in advance for taking the time to help with this problem.  \r<BR>\n" );
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document.write( "Sincerely,<BR>\n" );
document.write( "Karen Davison </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #88802 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=88802\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(g(x)) f(x)= 1/x and g(x) = x/x-1<BR>\n" );
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document.write( "Substitute g(x) for x in the f(x) = 1/x<BR>\n" );
document.write( "which means<BR>\n" );
document.write( "Substituting (x/x-1) for x in 1/x<BR>\n" );
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document.write( "f(g(x)) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28x%2F%28%28x-1%29%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28x%2F%28%28x-1%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "When dividing, invert the dividing fraction and mulitipy<BR>\n" );
document.write( "f(g(x)) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+%2A+%28%28x-1%29%2Fx%29 ALIGN=MIDDLE  ALT=\"1+%2A+%28%28x-1%29%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%2Fx ALIGN=MIDDLE  ALT=\"%28x-1%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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